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Proof step 8 from proof inv-add-gnds (previous step)

# lpt0 = # avol, # lpt = # avol, isbuf0 ↔ isbuf1, lpt[bleb.leb] = mklp(m4, m1, lpf, m2), bleb0 = bleb, keyset(gch) = gc-heap(lpt, log0), log = log0, m = m3, m0 = LEB_SIZE, awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(isbuf1, bleb, lpt, avol), bufs-log-only(bleb, log0, lpt), freelist-cons(lpt, freelist), log-group-block(log0, lpt), lpt-free-unref(lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt0), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log0), ¬ isbuf1 → bleb.isbuf? ∧ bleb.leb < # avol ∧ lpf = LP_GROUP_NODES ∧ bleb.leb ∈ log0 ∧ avol[bleb.leb].mapped? ∧ (gndx ≠ [] ∧ m1 + gndx.flashsize ≤ LEB_SIZE → m1 = # avol[bleb.leb].data) ⊦ ⟪awbuf_is_readonly#(adr, m, log, avol, lpt0, ns, bleb0, isbuf0; ; isbuf); if isbuf then err := EROFS else if gndx = [] then {ax := []; err := ESUCCESS} else let buf = ?, bleb = ? in {awbuf_get_buf#(adr, m, log, avol, lpt0, ns, bleb0, isbuf0; ; bleb); persistence_encode_group_nodes#(gndx, bleb.leb, lpt[bleb.leb].size; ; buf, ax, err); if err = ESUCCESS then if ¬ lpt[bleb.leb].size + # buf ≤ m0 then {debug#("persistence: trying to write beyond LEB size"); awbuf_enter_readonly#(adr, m, log, avol, lpt0, ns, bleb0; ; isbuf0); err := ENOSPC} else {awbuf_write_buf#(# buf, buf, adr, m, log, lpt0, ns, bleb0; avol, isbuf0; err); if err = ESUCCESS then lpt[bleb.leb].size := lpt[bleb.leb].size + # buf else {debug#("persistence: adding group node to LEB " + bleb.leb.toString + " failed"); lpt[bleb.leb].size := m0}} else {debug#("persistence: could not encode group node"); awbuf_enter_readonly#(adr, m, log, avol, lpt0, ns, bleb0; ; isbuf0)}}⟫ ( lpt-free-unref(lpt) ∧ freelist-cons(lpt, freelist) ∧ bin-heap-inv(gch, lpt) ∧ keyset(gch) = gc-heap(lpt, log0) ∧ bufs-log-only(bleb, log0, lpt) ∧ # lpt = # avol ∧ log-group-block(log0, lpt) ∧ buf-ro-rw-mode(isbuf0, bleb, lpt, avol) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt, lpt0, log0) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol), dups(log0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
# lpt = # avol, # lpt0 = # avol, lpt[bleb.leb] = mklp(m4, m1, lpf, m2), keyset(gch) = gc-heap(lpt, log0), awbuf-inv(avol, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(isbuf1, bleb, lpt, avol), bufs-log-only(bleb, log0, lpt), freelist-cons(lpt, freelist), log-group-block(log0, lpt), lpt-free-unref(lpt), lpt-free-unref(lpt0), lpt-leb-size(lpt), lpt-leb-size(lpt0), lpt-ram-flash(lpt, lpt0, log0), ¬ dups(log0), ¬ isbuf1 → bleb.isbuf? ∧ bleb.leb < # avol ∧ lpf = LP_GROUP_NODES ∧ bleb.leb ∈ log0 ∧ avol[bleb.leb].mapped? ∧ (gndx ≠ [] ∧ m1 + gndx.flashsize ≤ LEB_SIZE → m1 = # avol[bleb.leb].data) ⊦ ⟪awbuf_is_readonly#(adr, m, log0, avol, lpt0, ns, bleb, isbuf1; ; isbuf); if isbuf then err := EROFS else if gndx = [] then {ax := []; err := ESUCCESS} else let buf = ?, bleb1 = ? in {awbuf_get_buf#(adr, m, log0, avol, lpt0, ns, bleb, isbuf1; ; bleb1); persistence_encode_group_nodes#(gndx, bleb1.leb, lpt[bleb1.leb].size; ; buf, ax, err); if err = ESUCCESS then if ¬ lpt[bleb1.leb].size + # buf ≤ LEB_SIZE then {debug#("persistence: trying to write beyond LEB size"); awbuf_enter_readonly#(adr, m, log0, avol, lpt0, ns, bleb; ; isbuf1); err := ENOSPC} else {awbuf_write_buf#(# buf, buf, adr, m, log0, lpt0, ns, bleb; avol, isbuf1; err); if err = ESUCCESS then lpt[bleb1.leb] := mklp(lpt[bleb1.leb].ref-size, lpt[bleb1.leb].size + # buf, lpt[bleb1.leb].flags, lpt[bleb1.leb].gcheapidx) else {debug#("persistence: adding group node to LEB " + bleb1.leb.toString + " failed"); lpt[bleb1.leb] := mklp(lpt[bleb1.leb].ref-size, LEB_SIZE, lpt[bleb1.leb].flags, lpt[bleb1.leb].gcheapidx)}} else {debug#("persistence: could not encode group node"); awbuf_enter_readonly#(adr, m, log0, avol, lpt0, ns, bleb; ; isbuf1)}}⟫ ( lpt-free-unref(lpt) ∧ freelist-cons(lpt, freelist) ∧ bin-heap-inv(gch, lpt) ∧ keyset(gch) = gc-heap(lpt, log0) ∧ bufs-log-only(bleb, log0, lpt) ∧ # lpt = # avol ∧ log-group-block(log0, lpt) ∧ buf-ro-rw-mode(isbuf1, bleb, lpt, avol) ∧ lpt-leb-size(lpt) ∧ lpt-ram-flash(lpt, lpt0, log0) ∧ awbuf-inv(avol, bleb) ∧ # lpt0 = # avol)

Rule argument

Additional information

Used simplifier rules: elim-lp-upd-size: ⊦ lp.size:= n = mklp(lp.ref-size, n, lp.flags, lp.gcheapidx);